53 citations · 291 across the 36 of their papers we have counts for
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math.AG2015★ 2 cited
Signatures of real algebraic curves via plumbing diagrams
Patrick M. Gilmer, Stepan Yu. Orevkov
We define and calculate signature and nullity invariants for complex schemes for curves in the real projective plane. We use an analog of the Murasugi-Tristram inequality to prohib…
math.GT2015★ 2 cited
Signature Jumps and Alexander Polynomials for Links
Patrick M. Gilmer, Charles Livingston
We relate the jumps of the signature function of a link to the roots of its first nonzero higher Alexander polynomial.